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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 105, page id 175906937X:0129
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=129
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.77
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

ana eA
atcum termi.
cadcibus; 
idem quau
Eta u. Palet
N -d
lieaoru
icienteren
l18no. +
TEUIS.
mulciplie
d, X = 1
aret, lecu
quatuoOr ia
Do qu
cf. F d)
producton
bus e
A, d-
A O U A Y L O N U H.
C A P U F ZII.
Recula pro in veniendis reliquis aquarionis radi-
cibus, una falsarum data.
Portet mutare signa terminorum locorum parium aequatio
nis propolica, ita ut talla radices eradant vera, e rerxtal-
Ca. Fransformara hoc pacto xeguatione, suppolitaqueradice da
Fa pro vera, invellatur aequatio, reliquis radicibus inreniendis
inserriens, sicucisepra docuimus. Atque in aequatione sic inven-
Ca mutentur signa cerminorum locorum parium, habebimusque
aequatonem recalito latistacientem.
Exemplioracia FCto aequationis x3 L I X X = M M X - n3 ∞O
una extallis radicibus data, quae sic b, acque mutatis sionistermi-
norum locorum parium, habebius x3 -- lX X - m M X L n3 ∞O.
Supponatur jam radix Falla b hujus aequationis esse vera, atque uc
hrabeatur aequatio, reliquis duabus radicibus inserriens, consula-
cur Capiris V. Propcio 2d2; e elicientur inde hae dux aequationes
X X - lX - b b ∞O e X N   b X - -, ∞ O.
b L b1
MM
Ouocirca mutaris veriusque aequationis signis locorum po-
rium, habebimus x x = lx f b b ∞ O e X X - - b X- f - ∞ 0,
L-b
M IB
quarum quae libet quaesito latistaciet.
C A P U F XIII
Ad tollendum secundum terminum aquationum
QUA D R A T A R E MI.
XX L LX =MM ∞O. SitZ - = l ∞x, ec habebimus Z Z X - = II ∞0.
MM
tu bbde
Mm
Xx = lX - m  d. M
+
DX.
ericque
b ) DX3
772 b6000
MM